Abstract

We study the Hardy-Hénon parabolic equations on \( \mathbb {R}^{N}\) (N=2 or 3) under the effect of an additive fractional Brownian noise with Hurst parameter \(H>\max \left( 1/2, N/4\right) .\) We show local existence and uniqueness of a mid \(L^{q}\)-solution under suitable assumptions on q.

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